Research Article
A New Class of Difference Methods with Intrinsic Parallelism for Burgers–Fisher Equation
Table 10
The absolute error for
, , and
.
| | | Analytic solution | ADM | PASE-I scheme | Solution | AE | Solution | AE |
| 0.1 | 0.0005 | 0.783267 | 0.784115 | 4.45320e − 04 | 0.783283 | 1.53759e − 05 | 0.0001 | 0.783257 | 0.784106 | 4.46379e − 04 | 0.783260 | 3.07691e − 06 | 0.0010 | 0.783280 | 0.784127 | 4.43997e − 04 | 0.783310 | 3.06040e − 05 |
| 0.5 | 0.0005 | 0.741295 | 0.743150 | 1.85474e − 03 | 0.741314 | 1.82655e − 05 | 0.0001 | 0.741284 | 0.743145 | 1.86057e − 03 | 0.741288 | 3.65377e − 06 | 0.0010 | 0.741309 | 0.743157 | 1.84746e − 03 | 0.741346 | 3.65239e − 05 |
| 0.9 | 0.0005 | 0.696625 | 0.697089 | 9.19582e − 04 | 0.696646 | 2.06208e − 05 | 0.0001 | 0.696614 | 0.697089 | 9.31803e − 04 | 0.696618 | 4.12657e − 06 | 0.0010 | 0.696640 | 0.697088 | 9.04297e − 04 | 0.696681 | 4.10297e − 05 |
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